A turbocharger, including a turbine with a turbine rotor, a compressor with a compressor rotor coupled to the turbine rotor via a shaft. At least one bearing, via which the shaft is mounted in the bearing housing, wherein the respective bearing comprises a bearing bush mounted in the bearing housing in a rotationally fixed manner, wherein between the bearing bush and the bearing housing a radially outer lubricating gap and between the bearing bush and the shaft a radially inner lubricating gap is formed. The radially inner lubricating gap is suppliable with lubricating oil via at least one line introduced into the bearing bush, wherein the or each line introduced into the bearing bush, which serves for the oil supply of the radially inner lubricating gap, leads into a lubricating oil pocket of the bearing bush each, which based on the axial length of the bearing bush is placed off-center.